N - mixture models by species
modelling N by site to get relative abundance
abundance by site will be used as a cov on predator occupancy
7 models evaluated, dot, jdt + jdtSQ, lure + jdt + jdtSQ
Species: Â Â Â Â WhiteTailedJackrabbit
Detections by Year:
|
Yr
|
2016
|
2017
|
2018
|
2019
|
2020
|
|
sites
|
19
|
31
|
19
|
32
|
26
|
|
detections
|
19
|
39
|
43
|
57
|
23
|
|
N.dot.model
|
7
|
17
|
19
|
18
|
7
|
WAIC
Models by WAIC:
|
model
|
description
|
WAIC
|
N.total.est
|
|
fm7
|
counts
|
3.962858
|
127
|
|
fm2
|
jdt
|
1116.837448
|
71
|
|
fm5
|
jdt + jdtSq
|
1117.412453
|
73
|
|
fm4
|
lure + jdt
|
1118.211814
|
72
|
|
fm6
|
lure + jdt + jdtSq
|
1118.662959
|
73
|
|
fm1
|
dot
|
1119.959703
|
68
|
|
fm3
|
lure
|
1119.983799
|
70
|
Model summaries:
model: fm1
summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
p[1]
|
NA
|
6368
|
0.113
|
0.108
|
0.06
|
0.16
|
0
|
1.001
|
|
p[2]
|
NA
|
4102
|
0.091
|
0.089
|
0.05
|
0.13
|
0
|
1.001
|
|
p[3]
|
NA
|
3343
|
0.052
|
0.05
|
0.03
|
0.07
|
0
|
1.001
|
|
p[4]
|
NA
|
5495
|
0.091
|
0.087
|
0.06
|
0.12
|
0
|
1.001
|
|
p[5]
|
NA
|
7630
|
0.081
|
0.078
|
0.05
|
0.11
|
0
|
1.001
|
|
lambda[1]
|
NA
|
6607
|
0.447
|
0.354
|
0.15
|
0.70
|
0
|
1.001
|
|
lambda[2]
|
NA
|
3939
|
0.767
|
0.643
|
0.39
|
1.12
|
0
|
1.001
|
|
lambda[3]
|
NA
|
3527
|
1.305
|
1.095
|
0.62
|
1.98
|
0
|
1.001
|
|
lambda[4]
|
NA
|
7079
|
0.687
|
0.636
|
0.38
|
0.98
|
0
|
1.001
|
|
lambda[5]
|
NA
|
8273
|
0.339
|
0.287
|
0.12
|
0.54
|
0
|
1.001
|
|
N[107]
|
NA
|
10000
|
0.024
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[12]
|
NA
|
10041
|
0.038
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[72]
|
NA
|
10000
|
0.102
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[21]
|
NA
|
7953
|
1.123
|
err
|
1.00
|
2.00
|
err
|
err
|
|
N[20]
|
NA
|
7924
|
1.244
|
err
|
1.00
|
2.00
|
err
|
err
|
p[1]

p[2]

p[3]

p[4]

p[5]

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[107]

N[12]

N[72]

N[21]

N[20]

summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
alpha
|
jdt
|
9422
|
-0.170
|
-0.153
|
-0.31
|
-0.04
|
0.14777
|
0.9777
|
|
alpha0
|
NA
|
4910
|
-2.524
|
-2.528
|
-2.73
|
-2.31
|
0
|
1.001
|
|
lambda[1]
|
NA
|
8915
|
0.581
|
0.491
|
0.24
|
0.91
|
0
|
1.001
|
|
lambda[2]
|
NA
|
7599
|
0.815
|
0.743
|
0.47
|
1.14
|
0
|
1.001
|
|
lambda[3]
|
NA
|
9506
|
0.927
|
0.832
|
0.52
|
1.30
|
0
|
1.001
|
|
lambda[4]
|
NA
|
7941
|
0.772
|
0.719
|
0.43
|
1.06
|
0
|
1.001
|
|
lambda[5]
|
NA
|
9235
|
0.330
|
0.288
|
0.13
|
0.51
|
0
|
1.001
|
|
N[115]
|
NA
|
10000
|
1.061
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[16]
|
NA
|
9629
|
0.103
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[61]
|
NA
|
10000
|
1.047
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[58]
|
NA
|
10000
|
1.054
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[47]
|
NA
|
9259
|
0.102
|
err
|
0.00
|
0.00
|
err
|
err
|
alpha

alpha0

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[115]

N[16]

N[61]

N[58]

N[47]

alpha relationship

summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
alpha
|
lure
|
9489
|
-0.008
|
-0.022
|
-0.17
|
0.15
|
0.97272
|
0.5296
|
|
alpha0
|
NA
|
5189
|
-2.505
|
-2.496
|
-2.70
|
-2.29
|
0
|
1.001
|
|
lambda[1]
|
NA
|
9306
|
0.538
|
0.484
|
0.21
|
0.84
|
0
|
1.001
|
|
lambda[2]
|
NA
|
8281
|
0.826
|
0.735
|
0.47
|
1.15
|
0
|
1.001
|
|
lambda[3]
|
NA
|
9136
|
0.942
|
0.912
|
0.52
|
1.32
|
0
|
1.001
|
|
lambda[4]
|
NA
|
8953
|
0.763
|
0.714
|
0.45
|
1.06
|
0
|
1.001
|
|
lambda[5]
|
NA
|
8590
|
0.339
|
0.282
|
0.13
|
0.54
|
0
|
1.001
|
|
N[46]
|
NA
|
9660
|
1.508
|
1
|
1.00
|
2.00
|
0
|
1.0001
|
|
N[83]
|
NA
|
10143
|
0.136
|
err
|
0.00
|
1.00
|
err
|
err
|
|
N[47]
|
NA
|
8777
|
0.105
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[5]
|
NA
|
8795
|
1.828
|
2.002
|
1.00
|
3.00
|
0
|
1.0005
|
|
N[97]
|
NA
|
9238
|
0.026
|
err
|
0.00
|
0.00
|
err
|
err
|
alpha

alpha0

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[46]

N[83]

N[47]

N[5]

N[97]

alpha relationship

summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
alpha[1]
|
lureDays
|
8616
|
0.067
|
0.077
|
-0.11
|
0.24
|
0.8109
|
0.7267
|
|
alpha[2]
|
julianDt
|
8670
|
-0.191
|
-0.213
|
-0.35
|
-0.05
|
0.12979
|
0.9817
|
|
alpha0
|
NA
|
4975
|
-2.521
|
-2.491
|
-2.74
|
-2.33
|
0
|
1.001
|
|
lambda[1]
|
NA
|
9012
|
0.602
|
0.497
|
0.23
|
0.93
|
0
|
1.001
|
|
lambda[2]
|
NA
|
8585
|
0.829
|
0.786
|
0.49
|
1.17
|
0
|
1.001
|
|
lambda[3]
|
NA
|
9022
|
0.927
|
0.863
|
0.53
|
1.32
|
0
|
1.001
|
|
lambda[4]
|
NA
|
8191
|
0.774
|
0.736
|
0.47
|
1.08
|
0
|
1.001
|
|
lambda[5]
|
NA
|
10000
|
0.325
|
0.272
|
0.12
|
0.51
|
0
|
1.001
|
|
N[77]
|
NA
|
10000
|
0.125
|
err
|
0.00
|
1.00
|
err
|
err
|
|
N[52]
|
NA
|
10000
|
0.044
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[58]
|
NA
|
10000
|
1.059
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[105]
|
NA
|
10000
|
1.030
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[127]
|
NA
|
9473
|
0.017
|
err
|
0.00
|
0.00
|
err
|
err
|
alpha[1]

alpha[2]

alpha0

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[77]

N[52]

N[58]

N[105]

N[127]

summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
alpha[1]
|
julianDt
|
4659
|
0.094
|
0.106
|
-0.12
|
0.35
|
0.89194
|
0.7388
|
|
alpha[2]
|
julianDtSq
|
4072
|
-0.382
|
-0.399
|
-0.64
|
-0.11
|
0.07627
|
0.9906
|
|
alpha0
|
NA
|
4605
|
-2.588
|
-2.581
|
-2.80
|
-2.37
|
0
|
1.001
|
|
lambda[1]
|
NA
|
9300
|
0.552
|
0.465
|
0.22
|
0.86
|
0
|
1.001
|
|
lambda[2]
|
NA
|
7575
|
0.888
|
0.849
|
0.51
|
1.22
|
0
|
1.001
|
|
lambda[3]
|
NA
|
7938
|
0.924
|
0.857
|
0.51
|
1.30
|
0
|
1.001
|
|
lambda[4]
|
NA
|
7826
|
0.834
|
0.769
|
0.49
|
1.16
|
0
|
1.001
|
|
lambda[5]
|
NA
|
10000
|
0.333
|
0.27
|
0.13
|
0.52
|
0
|
1.001
|
|
N[45]
|
NA
|
10000
|
1.674
|
1
|
1.00
|
3.00
|
0
|
1.0003
|
|
N[57]
|
NA
|
8748
|
2.367
|
2.002
|
2.00
|
4.00
|
0
|
1.0009
|
|
N[126]
|
NA
|
9377
|
0.019
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[32]
|
NA
|
10000
|
0.065
|
err
|
0.00
|
0.00
|
err
|
err
|
|
N[59]
|
NA
|
10000
|
0.051
|
err
|
0.00
|
0.00
|
err
|
err
|
alpha[1]

alpha[2]

alpha0

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[45]

N[57]

N[126]

N[32]

N[59]

julian date relationship

summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
alpha[1]
|
lureDays
|
5900
|
-0.037
|
-0.037
|
-0.22
|
0.15
|
0.96177
|
0.6223
|
|
alpha[2]
|
julianDt
|
3266
|
0.115
|
0.078
|
-0.14
|
0.37
|
0.80197
|
0.7626
|
|
alpha[3]
|
julianDtSq
|
3316
|
-0.401
|
-0.399
|
-0.68
|
-0.13
|
0.07549
|
0.9893
|
|
alpha0
|
NA
|
4247
|
-2.593
|
-2.585
|
-2.80
|
-2.37
|
0
|
1.001
|
|
lambda[1]
|
NA
|
8777
|
0.545
|
0.475
|
0.22
|
0.86
|
0
|
1.001
|
|
lambda[2]
|
NA
|
7738
|
0.881
|
0.84
|
0.51
|
1.23
|
0
|
1.001
|
|
lambda[3]
|
NA
|
8437
|
0.918
|
0.885
|
0.53
|
1.30
|
0
|
1.001
|
|
lambda[4]
|
NA
|
7867
|
0.831
|
0.771
|
0.49
|
1.15
|
0
|
1.001
|
|
lambda[5]
|
NA
|
9498
|
0.339
|
0.276
|
0.13
|
0.53
|
0
|
1.001
|
|
N[78]
|
NA
|
10000
|
0.270
|
err
|
0.00
|
1.00
|
err
|
err
|
|
N[30]
|
NA
|
9420
|
1.359
|
1
|
1.00
|
2.00
|
0
|
1
|
|
N[42]
|
NA
|
9710
|
0.255
|
err
|
0.00
|
1.00
|
err
|
err
|
|
N[57]
|
NA
|
8810
|
2.341
|
2.002
|
2.00
|
4.00
|
0
|
1.0009
|
|
N[44]
|
NA
|
9480
|
0.360
|
0
|
0.00
|
1.00
|
1
|
err
|
alpha[1]

alpha[2]

alpha[3]

alpha0

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[78]

N[30]

N[42]

N[57]

N[44]

summary table
|
param
|
covariate
|
iters_ef
|
mean
|
mode
|
hdi_89pct_lower
|
hdi_89pct_upper
|
bayes_P
|
pct.density
|
|
alpha
|
counts
|
8243
|
7.653
|
7.24
|
5.56
|
9.55
|
0
|
1.001
|
|
alpha0
|
NA
|
9596
|
-7.163
|
-6.841
|
-8.80
|
-5.59
|
0
|
1.001
|
|
lambda[1]
|
NA
|
8812
|
0.975
|
0.808
|
0.34
|
1.54
|
0
|
1.001
|
|
lambda[2]
|
NA
|
9695
|
0.982
|
0.907
|
0.56
|
1.36
|
0
|
1.001
|
|
lambda[3]
|
NA
|
10000
|
0.991
|
0.957
|
0.53
|
1.41
|
0
|
1.001
|
|
lambda[4]
|
NA
|
10000
|
0.988
|
0.94
|
0.55
|
1.40
|
0
|
1.001
|
|
lambda[5]
|
NA
|
7503
|
0.964
|
0.794
|
0.34
|
1.53
|
0
|
1.001
|
|
N[115]
|
NA
|
0
|
1.000
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[108]
|
NA
|
10000
|
1.000
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[86]
|
NA
|
0
|
1.000
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[99]
|
NA
|
0
|
1.000
|
err
|
1.00
|
1.00
|
err
|
err
|
|
N[110]
|
NA
|
10000
|
0.960
|
0
|
0.00
|
2.00
|
1
|
err
|
alpha

alpha0

lambda[1]

lambda[2]

lambda[3]

lambda[4]

lambda[5]

N[115]
## Warning in cor(X, use = "pairwise.complete.obs"): the standard deviation is zero
## Warning: Removed 50 rows containing missing values (geom_bar).

N[108]

N[86]
## Warning in cor(X, use = "pairwise.complete.obs"): the standard deviation is zero
## Warning: Removed 50 rows containing missing values (geom_bar).

N[99]
## Warning in cor(X, use = "pairwise.complete.obs"): the standard deviation is zero
## Warning: Removed 50 rows containing missing values (geom_bar).

N[110]

alpha relationship
